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Title: Ray-wave correspondence in an unstable quasistadium laser resonator

Abstract

The relation between unstable periodic orbits and resonator modes in a fully chaotic open-sided two-dimensional laser resonator is theoretically investigated in the short wavelength limit. We derive a periodic-orbit-sum formula for eigenvalues of the resonator modes by applying the semiclassical approximation to the extended Fox-Li mode calculation method. With this formula, we show that the complicated wavelength dependence of the power-coupling coefficients of the fully chaotic quasi-stadium laser resonator can be explained by a few kinds of unstable periodic orbits.

Authors:
 [1];  [2];  [3];  [4]
  1. Department of Communication Engineering, Okayama Prefectural University, 111 Kuboki, Soja, Okayama 719-1197 (Japan)
  2. (Japan)
  3. Department of Nonlinear Science, ATR Wave Engineering Laboratories, 2-2-2 Hikaridai, Seika-cho, Soraku-gun, Kyoto 619-0288 (Japan)
  4. Institute for Theoretical Physics, University of Bremen, D-28359 Bremen (Germany)
Publication Date:
OSTI Identifier:
20974641
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. A; Journal Volume: 73; Journal Issue: 2; Other Information: DOI: 10.1103/PhysRevA.73.023816; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CHAOS THEORY; COUPLING; EIGENVALUES; FREQUENCY DEPENDENCE; LASER CAVITIES; LASERS; OPTICAL MODES; ORBITS; PERIODICITY; RESONATORS; SEMICLASSICAL APPROXIMATION; TWO-DIMENSIONAL CALCULATIONS; WAVELENGTHS

Citation Formats

Fukushima, Takehiro, Department of Nonlinear Science, ATR Wave Engineering Laboratories, 2-2-2 Hikaridai, Seika-cho, Soraku-gun, Kyoto 619-0288, Harayama, Takahisa, and Wiersig, Jan. Ray-wave correspondence in an unstable quasistadium laser resonator. United States: N. p., 2006. Web. doi:10.1103/PHYSREVA.73.023816.
Fukushima, Takehiro, Department of Nonlinear Science, ATR Wave Engineering Laboratories, 2-2-2 Hikaridai, Seika-cho, Soraku-gun, Kyoto 619-0288, Harayama, Takahisa, & Wiersig, Jan. Ray-wave correspondence in an unstable quasistadium laser resonator. United States. doi:10.1103/PHYSREVA.73.023816.
Fukushima, Takehiro, Department of Nonlinear Science, ATR Wave Engineering Laboratories, 2-2-2 Hikaridai, Seika-cho, Soraku-gun, Kyoto 619-0288, Harayama, Takahisa, and Wiersig, Jan. Wed . "Ray-wave correspondence in an unstable quasistadium laser resonator". United States. doi:10.1103/PHYSREVA.73.023816.
@article{osti_20974641,
title = {Ray-wave correspondence in an unstable quasistadium laser resonator},
author = {Fukushima, Takehiro and Department of Nonlinear Science, ATR Wave Engineering Laboratories, 2-2-2 Hikaridai, Seika-cho, Soraku-gun, Kyoto 619-0288 and Harayama, Takahisa and Wiersig, Jan},
abstractNote = {The relation between unstable periodic orbits and resonator modes in a fully chaotic open-sided two-dimensional laser resonator is theoretically investigated in the short wavelength limit. We derive a periodic-orbit-sum formula for eigenvalues of the resonator modes by applying the semiclassical approximation to the extended Fox-Li mode calculation method. With this formula, we show that the complicated wavelength dependence of the power-coupling coefficients of the fully chaotic quasi-stadium laser resonator can be explained by a few kinds of unstable periodic orbits.},
doi = {10.1103/PHYSREVA.73.023816},
journal = {Physical Review. A},
number = 2,
volume = 73,
place = {United States},
year = {Wed Feb 15 00:00:00 EST 2006},
month = {Wed Feb 15 00:00:00 EST 2006}
}